34115101428240 has 960 divisors, whose sum is σ = 139520962944000. Its totient is φ = 7637468590080.

The previous prime is 34115101428169. The next prime is 34115101428241. The reversal of 34115101428240 is 4282410151143.

34115101428240 is a `hidden beast` number, since 3 + 4 + 11 + 510 + 14 + 2 + 82 + 40 = 666.

34115101428240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34115101428195 and 34115101428204.

It is not an unprimeable number, because it can be changed into a prime (34115101428241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1543030306 + ... + 1543052414.

It is an arithmetic number, because the mean of its divisors is an integer number (145334336400).

Almost surely, 2^{34115101428240} is an apocalyptic number.

34115101428240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34115101428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69760481472000).

34115101428240 is an abundant number, since it is smaller than the sum of its proper divisors (105405861515760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34115101428240 is a wasteful number, since it uses less digits than its factorization.

34115101428240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22445 (or 22426 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 34115101428240 its reverse (4282410151143), we get a palindrome (38397511579383).

The spelling of 34115101428240 in words is "thirty-four trillion, one hundred fifteen billion, one hundred one million, four hundred twenty-eight thousand, two hundred forty".